OPTIMIZATION OF SINGLY REINFORCED RC BEAMS
DOI:
https://doi.org/10.29121/granthaalayah.v5.i2.2017.1724Keywords:
Optimization, Nonlinear Programming Problem, Constrained Nonlinear Minimization, Matlab, SQP AlgorithmAbstract [English]
The main objective of this paper is to achieve an optimal design for the reinforced concrete beams. Optimization of beams results in saving in cost. The objective function is to minimize the total cost of the beam. The cost of each beam includes the cost of concrete, reinforcement and formwork. The optimization process is done for different grades of concrete and steel to determine the best grade of concrete and steel. The optimal design is carried out using MATLAB's (The Mathworks, Inc.) software. Optimization problem is formulated as a Nonlinear constrained minimization problem. This was solved using the fmincon SQP Algorithm. Many problems were solved and it was found that the solutions give the most economical design.
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Coello.C.C, Hernandez F.S and Farrera F. A, Optimal Design of Reinforced Concrete Beams Using Genetic Algorithms, Expert Systems with Applicatons, Vol. 12, 1997, pp. 101-108. DOI: https://doi.org/10.1016/S0957-4174(96)00084-X
Ferreira.C.C,. Barros. M. H. F. M and Barros A. F. M, Optimal design of reinforced concrete T-Sections in Bending, Engineering Structures,Vol. 25, 2003, pp. 951-964. DOI: https://doi.org/10.1016/S0141-0296(03)00039-7
Leps M and Sejnoha M., New Approach to Optimization of Reinforced Concrete Beams, Computers and Structures, Vol.81, 2003, pp- 1957–1966. DOI: https://doi.org/10.1016/S0045-7949(03)00215-3
Barros M. H. F. M, Martins R. A. F and Barros A. F. M., Cost optimization of Singly and Doubly Reinforced Concrete Beams with EC2-2001, Structural and Multidisciplinary Optimization, Vol. 30, 2005, pp-236–242. DOI: https://doi.org/10.1007/s00158-005-0516-2
Govindaraj.V and Ramasamy.J. V, Optimum Detailed Design of Reinforced Concrete Continuous Beams Using Genetic Algorithms, Computers and Structures, Vol. 84, 2005, pp- 34–48. DOI: https://doi.org/10.1016/j.compstruc.2005.09.001
IS 456:2000 - Plain and Reinforced Concrete - Code of Practice, Bureau of Indian Standards, Manak Bhavan, New Delhi.
IS 1786:2008- High Strength Deformed Stee Bars and Wires for Concrete Reinforcement-Specification
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